which equation gives the length of an arc, S, intercepted by an angle of 3 rad in a circle with a radius of 4 inches? 1. s=3/4 2. s=4/3 3. s=4+3 4. s=4x3

the answer is 40.

proof:

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like:

step-by-step explanation: